---
_id: '9977'
abstract:
- lang: eng
  text: "For a Seifert fibered homology sphere X we show that the q-series invariant
    Zˆ0(X; q) introduced by Gukov-Pei-Putrov-Vafa, is a resummation of the Ohtsuki
    series Z0(X). We show that for every even k ∈ N there exists a full asymptotic
    expansion of Zˆ0(X; q) for q tending to e 2πi/k, and in particular that the limit
    Zˆ0(X; e 2πi/k) exists and is equal to the\r\nWRT quantum invariant τk(X). We
    show that the poles of the Borel transform of Z0(X) coincide with the classical
    complex Chern-Simons values, which we further show classifies the corresponding
    components of the moduli space of flat SL(2, C)-connections."
acknowledgement: "We warmly thank S. Gukov for valuable discussions on the GPPV invariant
  ̂Z\U0001D44E(\U0001D4403; \U0001D45E). The first\r\nauthor was supported in part
  by the center of excellence grant ‘Center for Quantum Geometry\r\nof Moduli Spaces’
  from the Danish National Research Foundation (DNRF95) and by the ERCSynergy\r\ngrant
  ‘ReNewQuantum’. The second author received funding from the European Union’s Horizon
  2020 research and innovation program under the Marie Skłodowska-Curie grant agreement
  no. 754411."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: William
  full_name: Mistegaard, William
  id: 41B03CD0-62AE-11E9-84EF-0718E6697425
  last_name: Mistegaard
- first_name: Jørgen Ellegaard
  full_name: Andersen, Jørgen Ellegaard
  last_name: Andersen
citation:
  ama: Mistegaard W, Andersen JE. Resurgence analysis of quantum invariants of Seifert
    fibered homology spheres. <i>Journal of the London Mathematical Society</i>. 2022;105(2):709-764.
    doi:<a href="https://doi.org/10.1112/jlms.12506">10.1112/jlms.12506</a>
  apa: Mistegaard, W., &#38; Andersen, J. E. (2022). Resurgence analysis of quantum
    invariants of Seifert fibered homology spheres. <i>Journal of the London Mathematical
    Society</i>. Wiley. <a href="https://doi.org/10.1112/jlms.12506">https://doi.org/10.1112/jlms.12506</a>
  chicago: Mistegaard, William, and Jørgen Ellegaard Andersen. “Resurgence Analysis
    of Quantum Invariants of Seifert Fibered Homology Spheres.” <i>Journal of the
    London Mathematical Society</i>. Wiley, 2022. <a href="https://doi.org/10.1112/jlms.12506">https://doi.org/10.1112/jlms.12506</a>.
  ieee: W. Mistegaard and J. E. Andersen, “Resurgence analysis of quantum invariants
    of Seifert fibered homology spheres,” <i>Journal of the London Mathematical Society</i>,
    vol. 105, no. 2. Wiley, pp. 709–764, 2022.
  ista: Mistegaard W, Andersen JE. 2022. Resurgence analysis of quantum invariants
    of Seifert fibered homology spheres. Journal of the London Mathematical Society.
    105(2), 709–764.
  mla: Mistegaard, William, and Jørgen Ellegaard Andersen. “Resurgence Analysis of
    Quantum Invariants of Seifert Fibered Homology Spheres.” <i>Journal of the London
    Mathematical Society</i>, vol. 105, no. 2, Wiley, 2022, pp. 709–64, doi:<a href="https://doi.org/10.1112/jlms.12506">10.1112/jlms.12506</a>.
  short: W. Mistegaard, J.E. Andersen, Journal of the London Mathematical Society
    105 (2022) 709–764.
date_created: 2021-08-31T12:51:40Z
date_published: 2022-03-01T00:00:00Z
date_updated: 2023-08-02T06:53:51Z
day: '01'
ddc:
- '510'
department:
- _id: TaHa
doi: 10.1112/jlms.12506
ec_funded: 1
external_id:
  arxiv:
  - '1811.05376'
  isi:
  - '000755205700001'
file:
- access_level: open_access
  checksum: 9c72327d39f34f1a6eaa98fa4b8493f2
  content_type: application/pdf
  creator: dernst
  date_created: 2022-03-24T11:42:25Z
  date_updated: 2022-03-24T11:42:25Z
  file_id: '10917'
  file_name: 2022_JourLondonMathSoc_Andersen.pdf
  file_size: 649130
  relation: main_file
  success: 1
file_date_updated: 2022-03-24T11:42:25Z
has_accepted_license: '1'
intvolume: '       105'
isi: 1
issue: '2'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 709-764
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Journal of the London Mathematical Society
publication_identifier:
  eissn:
  - 1469-7750
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Resurgence analysis of quantum invariants of Seifert fibered homology spheres
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 105
year: '2022'
...